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121212001000 = 23531923277373
BaseRepresentation
bin111000011100011001…
…1000101101011101000
3102120212110202122022101
41300320303011223220
53441220233013000
6131403425503144
711520514003006
oct1607063055350
9376773678271
10121212001000
1147451018442
121b5a97a1ab4
13b57932111c
145c1c2bba76
1532465b1e6a
hex1c38cc5ae8

121212001000 has 128 divisors (see below), whose sum is σ = 311546476800. Its totient is φ = 43935724800.

The previous prime is 121212000989. The next prime is 121212001013. The reversal of 121212001000 is 100212121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298314 + ... + 575686.

It is an arithmetic number, because the mean of its divisors is an integer number (2433956850).

Almost surely, 2121212001000 is an apocalyptic number.

121212001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155773238400).

121212001000 is an abundant number, since it is smaller than the sum of its proper divisors (190334475800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121212001000 is a wasteful number, since it uses less digits than its factorization.

121212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277436 (or 277422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121212001000 its reverse (100212121), we get a palindrome (121312213121).

The spelling of 121212001000 in words is "one hundred twenty-one billion, two hundred twelve million, one thousand".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 125 152 184 190 200 230 250 380 437 460 475 500 575 760 874 920 950 1000 1150 1748 1900 2185 2300 2375 2875 3496 3800 4370 4600 4750 5750 8740 9500 10925 11500 17480 19000 21850 23000 43700 54625 87400 109250 218500 277373 437000 554746 1109492 1386865 2218984 2773730 5270087 5547460 6379579 6934325 10540174 11094920 12759158 13868650 21080348 25518316 26350435 27737300 31897895 34671625 42160696 51036632 52700870 55474600 63795790 69343250 105401740 121212001 127591580 131752175 138686500 159489475 210803480 242424002 255183160 263504350 277373000 318978950 484848004 527008700 606060005 637957900 658760875 797447375 969696008 1054017400 1212120010 1275915800 1317521750 1594894750 2424240020 2635043500 3030300025 3189789500 4848480040 5270087000 6060600050 6379579000 12121200100 15151500125 24242400200 30303000250 60606000500 121212001000